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QUESTION IMAGE

the dot plots below show the number of miles run per week for two diffe…

Question

the dot plots below show the number of miles run per week for two different classes.
complete the comparison of the spreads of the dot plots.
class a is spread from 4 miles to \boxed{14} miles with \boxed{no gaps in the data}, while class b is spread from 3 miles to \boxed{10} miles with \boxed{a wide gap of no data}.

Explanation:

Step1: Analyze Class A's data range

Looking at the dot plot for Class A, the minimum value (smallest number of miles) is 4 and the maximum value (largest number of miles) is 14. So the spread is from 4 to 14 miles.

Step2: Analyze Class B's data range

For Class B's dot plot, the minimum value is 3 (from the x - axis labels, the first non - zero data starts around 3? Wait, looking at the plot, the first dots are at 3? Wait no, the x - axis for Class B: the first dots are at 3? Wait the Class B plot: the first dots are at 3? Wait no, looking at the Class B (mi) plot, the x - axis has 0,2,4,6,8,10,12,14. The dots start at 3? Wait no, the first dots are at 3? Wait the first set of dots for Class B is at 3? Wait no, the first dots are at 3? Wait no, looking at the Class B plot: the first dots are at 3? Wait the first dots are at 3? Wait no, the x - axis is labeled 0,2,4,6,8,10,12,14. The first dots for Class B are at 3? Wait no, the first dots are at 3? Wait maybe I misread. Wait the Class A plot: the data points are at 4,5,6,12,13,14? Wait no, looking at Class A (mi) plot: the dots are at 4 (3 dots), 5 (4 dots), 6 (1 dot), 12 (2 dots), 13 (5 dots), 14 (2 dots). Wait no, the x - axis for Class A: 0,2,4,6,8,10,12,14. The dots: at 4 (3), 5 (4), 6 (1), 12 (2), 13 (5), 14 (2). So the minimum is 4, maximum is 14. For Class B (mi) plot: x - axis 0,2,4,6,8,10,12,14. Dots: at 3 (2), 4 (4), 5 (3), 6 (1), 7 (1), 8 (2), 9 (5). Wait no, maybe the x - axis labels are 3,4,5,6,7,8,9? Wait no, the original problem: "Class A (mi)" and "Class B (mi)". Let's re - examine:

For Class A: The dot plot has dots at 4,5,6,12,13,14? Wait no, the first part of Class A (left side) has dots at 4 (3), 5 (4), 6 (1), and then a gap, then dots at 12 (2), 13 (5), 14 (2). So the minimum value is 4, maximum is 14. So the spread is from 4 to 14 miles.

For Class B: The dot plot has dots starting at 3 (2 dots), then 4 (4), 5 (3), 6 (1), 7 (1), 8 (2), 9 (5). Wait no, the x - axis for Class B: 0,2,4,6,8,10,12,14? No, maybe the x - axis is labeled with the number of miles, so the first dot is at 3 miles (since between 2 and 4, the first dot is at 3). Then the maximum is 9? Wait no, the last dots for Class B are at 9? Wait the original problem says "Class B is spread from 3 miles to 10 miles with a wide gap of no data". Wait the second blank for Class A: "Class A is spread from 4 miles to [blank] miles with [blank] in the data". From the Class A plot, the maximum value is 14 (since there are dots at 14). And looking at the data, between 6 and 12, there are no dots (a gap), and then data from 12 to 14. So Class A is spread from 4 to 14 miles with a gap in the data? Wait no, the first blank for Class A: "Class A is spread from 4 miles to \boxed{14} miles with \boxed{a gap} in the data", and Class B is spread from 3 miles to \boxed{10} miles with \boxed{no gap} in the data. Wait the problem's text: "Class A is spread from 4 miles to \underline{14} miles with \underline{a gap} in the data, while Class B is spread from 3 miles to \underline{10} miles with \underline{no gap} in the data."

Wait let's confirm:

  • For Class A: The minimum is 4 (first dot at 4), maximum is 14 (last dot at 14). Between 6 and 12, there are no dots (a gap).
  • For Class B: The minimum is 3 (first dot at 3), maximum is 10 (last dot at 10), and there are no gaps (dots are continuous from 3 to 10).

Answer:

First blank (Class A max): 14
Second blank (Class A data): a gap
Third blank (Class B max): 10
Fourth blank (Class B data): no gap

(Assuming the blanks are filled as: "Class A is spread from 4 miles to \boldsymbol{14} miles with \boldsymbol{a gap} in the data, while Class B is spread from 3 miles to \boldsymbol{10} miles with \boldsymbol{no gap} in the data.")